Oscillation of one kind of second order neutral delay differential equations
by Hui Li; Yige Zhao; Shurong Sun
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 3, 2020

Abstract: This paper is dedicated to discussing the oscillation of the second order neutral delay differential equations (r(t)(z´(t))^α)´ + q(t)f(x^β(σ(t))) = 0, where z(t) = x(t) + p(t)x(τ(t)). Sufficient conditions are provided by Riccati transformation comparing with related first order differential inequalities and differential equations. Results obtained in this paper have extended and improved conclusions contained in other literatures. Several illustrative examples are presented.

Online publication date: Mon, 22-Jun-2020

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